shaalaa.com
S

Solution - Establish the Following Vector Inequalities Geometrically Or Otherwise: When Does the Equality Sign Above Apply? - Scalars and Vectors

Account
User


Login
Register


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Question

Establish the following vector inequalities geometrically or otherwise:

(a) |b| ≤ |a| + |b|

(b) |b| ≥ ||a| − |b||

(c) |− b| ≤ |a| + |b|

(d) |− b| ≥ ||a| − |b||

When does the equality sign above apply?

Solution

You need to to view the solution
Is there an error in this question or solution?

Similar questions

Three girls skating on a circular ice ground of radius 200 m start from a point Pon the edge of the ground and reach a point Qdiametrically opposite to P following different paths as shown in Figure. What is the magnitude of the displacement vector for each? For which girl is this equal to the actual length of the path skated?

 

view solution

Read each statement below carefully and state with reasons, if it is true or false:

The magnitude of a vector is always a scalar

view solution

Read each statement below carefully and state with reasons, if it is true or false:

 the total path length is always equal to the magnitude of the displacement vector of a particle. 

view solution

Pick out the only vector quantity in the following list:

Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction, charge.

view solution

State, for each of the following physical quantities, if it is a scalar or a vector: volume, mass, speed, acceleration, density, number of moles, velocity, angular frequency, displacement, angular velocity.

view solution

Content BooksVIEW ALL [1]

S